The most common and most likely answer to this crossword clue is the 4 letter word THAT
I've seen this crossword clue in The Times
T
H
A
T
More clues leading to the result THAT
- Our lot’s thus working late shift
- Tears accompanying this rueful exclamation?
- I’m happier now I recognise St Thomas: say so on Facebook?
- Which two hints are taken initially?
- Limit heatstroke with treatment, getting encouraging response
- Response to unexpected event requiring intervention by tailor?
- You are out of tune, I tell you plainly
- Trained athlete is trim, OK? I’m pleased by the improvement!
- It’s opposed to this heartless threat
- Strangled by tall youth at sea, Blackbeard should have been more careful
Buddy explains!

The straight part
We know that "Our lot’s thus" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case our lot’s thus = that.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does THAT mean?
THAT noun- Something being indicated that is there; one of those.
- (degree) To a given extent or degree.
- (degree) To a great extent or degree; very, particularly (in negative constructions).
- To such an extent; so. (in positive constructions).
- (demonstrative) The thing, person, idea, quality, event, action or time indicated or understood from context, especially if more remote geographically, temporally or mentally than one designated as "this", or if expressing distinction.
- The known (thing); used to refer to something just said.
- (demonstrative) The aforementioned quality or proposition; used to emphatically affirm or deny a previous statement or question.
- (relative) (plural that) Which, who; representing a subject, direct object, indirect object, or object of a preposition.
- Used in place of relative adverbs such as where or when; often omitted.
- Introducing a clause which is the subject or object of a verb (such as one involving reported speech), or which is a complement to a previous statement.
- Introducing a subordinate clause expressing a reason or cause: because, in that.
- Introducing a subordinate clause that expresses an aim, purpose or goal ("final"), and usually contains the auxiliaries may, might or should: so, so that.
- Introducing — especially, but not exclusively, with an antecedent like so or such — a subordinate clause expressing a result, consequence or effect.
- Introducing a premise or supposition for consideration: seeing as; inasmuch as; given that; as would appear from the fact that.
- Introducing a subordinate clause modifying an adverb.
- Introducing an exclamation expressing a desire or wish.
- Introducing an exclamation expressing a strong emotion such as sadness or surprise.